The Third Figure: Conditions and Six Productive Moods

Read-only question overview. Answers and scoring remain inside authenticated learner attempts.

• What role does the middle term play in the third figure?
• What figure has “All B are C; all B are A”?
• What is the first productive condition of the third figure?
• What is the second condition of the third figure?
• Why do “Some students are memorizers; some students are calligraphers” not entail overlap?
• How many third-figure moods are productive?
• What is the quantity of every productive third-figure conclusion?
• With a universal affirmative minor, what may the major be?
• With a particular affirmative minor, what is required of the major?
• What are the premises in mood 1?
• What follows by this third-figure form from “All horses are animals; all horses are living beings”?
• In mood 1, what follows by converting “All B are C,” with existence?
• Which mood has universal affirmative minor and universal negative major?
• What follows from “All horses are animals; no horse is a bird”?
• Which premise pair constitutes mood 3?
• What follows from “Some students are poets; all students are human”?
• What is the result of mood 4 (particular affirmative minor, universal negative major)?
• Where does mood 4 obtain existence for its particular conclusion?
• What is the major premise in mood 5?
• What follows from “All students are human; some students are calligraphers”?
• Which step helps reduce mood 5 to the first figure?
• Which describes mood 6?
• What follows from “All students are human; some students are not poets”?
• If “Some C are not A” were false in mood 6, what would its contradictory be?
• Which pair entails “Some C are not A” in figure three?
• Someone infers “All C are A” from two universal affirmative third-figure premises. What is wrong?
• What distinguishes the second and third figures?
• With a negative major in a productive third-figure mood, what is the conclusion?
• In the third figure, the middle term is subject in both premises.
• Two particular premises always yield a valid third-figure syllogism.
• In mood 6, directly converting the particular negative major is valid.
• In modern logic, deriving a particular from two universals may require an existence premise.